827129053 has 2 divisors, whose sum is σ = 827129054. Its totient is φ = 827129052.

The previous prime is 827129047. The next prime is 827129063. The reversal of 827129053 is 350921728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 795070809 + 32058244 = 28197^2 + 5662^2 .

It is a cyclic number.

It is not a de Polignac number, because 827129053 - 2⁵ = 827129021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827129063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413564526 + 413564527.

It is an arithmetic number, because the mean of its divisors is an integer number (413564527).

Almost surely, 2^827129053 is an apocalyptic number.

It is an amenable number.

827129053 is a deficient number, since it is larger than the sum of its proper divisors (1).

827129053 is an equidigital number, since it uses as much as digits as its factorization.

827129053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 827129053 is about 28759.8514078220. The cubic root of 827129053 is about 938.6948285161.

The spelling of 827129053 in words is "eight hundred twenty-seven million, one hundred twenty-nine thousand, fifty-three".